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56715680 = 255779641
BaseRepresentation
bin1101100001011…
…0100110100000
310221201110021202
43120112212200
5104004400210
65343340332
71256034560
oct330264640
9127643252
1056715680
112a01836a
1216bb16a8
13b99a098
147764da0
154ea49a5
hex36169a0

56715680 has 96 divisors (see below), whose sum is σ = 155312640. Its totient is φ = 19169280.

The previous prime is 56715679. The next prime is 56715683. The reversal of 56715680 is 8651765.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56715683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88160 + ... + 88800.

It is an arithmetic number, because the mean of its divisors is an integer number (1617840).

Almost surely, 256715680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77656320).

56715680 is an abundant number, since it is smaller than the sum of its proper divisors (98596960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56715680 is a wasteful number, since it uses less digits than its factorization.

56715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 56715680 is about 7530.9813437559. The cubic root of 56715680 is about 384.2091597796.

The spelling of 56715680 in words is "fifty-six million, seven hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 641 790 1106 1120 1264 1282 1580 2212 2528 2564 2765 3160 3205 4424 4487 5128 5530 6320 6410 8848 8974 10256 11060 12640 12820 17696 17948 20512 22120 22435 25640 35896 44240 44870 50639 51280 71792 88480 89740 101278 102560 143584 179480 202556 253195 354473 358960 405112 506390 708946 717920 810224 1012780 1417892 1620448 1772365 2025560 2835784 3544730 4051120 5671568 7089460 8102240 11343136 14178920 28357840 56715680